Find the intercepts cut off by the plane 2x + y – z = 5.

We know that, the eq. of the plane in intercept form

where a, b, c are the intercepts cut-off by the plane at x, y and z axes respectively.

⇒ 2x + y – z = 5 (i)

Dividing both side of (i)eq. by 5, we get

Thus, the intercepts cut-off by the plane are 5/2, 5 and -5.

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